Abstract. Several proof translations of classical mathematics into intuitionistic mathematics have been proposed in the literature over the past century. These are normally referre...
Abstract. We prove that interactive learning based classical realizability (introduced by Aschieri and Berardi for first order arithmetic [1]) is sound with respect to Coquand game...
This paper presents a type theory with a form of equality reflection: provable equalities can be used to coerce the type of a term. Coercions and other annotations, including impl...